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Recent studies have demonstrated improved skill in numerical weather prediction via the use of spatially correlated observation error covariance information in data assimilation systems. In this case, the observation weighting matrices…

Numerical Analysis · Mathematics 2022-01-05 Guannan Hu , Sarah L. Dance

We present a new approach to efficiently simulate electrolytes confined between infinite charged walls using a 3d Ewald summation method. The optimal performance is achieved by separating the electrostatic potential produced by the charged…

Soft Condensed Matter · Physics 2018-01-18 Alexandre P. dos Santos , Matheus Girotto , Yan Levin

Hybrid quantum mechanics / molecular mechanics (QM/MM) models successfully describe the properties of biological macromolecules. However, most QM/MM methodologies are constrained to unrealistic gas phase models, thus limiting their…

Chemical Physics · Physics 2022-11-08 Simone Bonfrate , Nicolas Ferré , Miquel , Huix-Rotllant

For inhomogeneous systems with interfaces, the inclusion of long-range dispersion interactions is necessary to achieve consistency between molecular simulation calculations and experimental results. For accurate and efficient incorporation…

Materials Science · Physics 2013-04-25 Rolf E. Isele-Holder , Wayne Mitchell , Ahmed E. Ismail

Molecular dynamics (MD) simulations employing classical force fields constitute the cornerstone of contemporary atomistic modeling in chemistry, biology, and materials science. However, the predictive power of these simulations is only as…

Chemical Physics · Physics 2018-09-26 Stefan Chmiela , Huziel E. Sauceda , Klaus-Robert Müller , Alexandre Tkatchenko

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

Atomic Physics · Physics 2015-06-17 Ran Xu , Bin Liu

The Fast Multipole Method (FMM) provides a highly efficient computational tool for solving constant coefficient partial differential equations (e.g. the Poisson equation) on infinite domains. The solution to such an equation is given as the…

Numerical Analysis · Mathematics 2012-01-04 A. Gillman , P. G. Martinsson

Distributed point charge models (DCM) and their minimal variants (MDCM) have been integrated with tools widely used for condensed-phase simulations, including a virial-based barostat and a slow-growth algorithm for thermodynamic…

Chemical Physics · Physics 2020-11-03 Mike Devereux , Marco Pezzella , Shampa Raghunathan , Markus Meuwly

A new pairwise hybrid machine-learning/molecular mechanics (ML/MM) potential is introduced that is conceived for application to large, heterogeneous condensed-phase systems. The PhysNet ML method describes monomers and short-range dimer…

Chemical Physics · Physics 2026-03-17 Kham Lek Chaton , Eric D. Boittier , Mike Devereux , Markus Meuwly

Large molecular dynamics simulations (millions of atoms, tens of microseconds, thousands of processors) hit the strong scalability wall: simulation on twice as many processors does not take half the time. Inspired by large N-body space…

Numerical Analysis · Computer Science 2013-10-21 Jana Pazúriková , Luděk Matyska

With the continuous growth of processing power for scientific computing, first principles Born-Oppenheimer molecular dynamics (MD) simulations are becoming increasingly popular for the study of a wide range of problems in materials science,…

Materials Science · Physics 2015-06-04 Anders M. N. Niklasson , Marc J. Cawkwell

Accounting for geometry-induced changes in the electronic distribution in molecular simulation is important for capturing effects such as charge flow, charge anisotropy and polarization. Multipolar force fields have demonstrated their…

Chemical Physics · Physics 2022-07-01 Eric D. Boittier , Mike Devereux , Markus Meuwly

Alternating direction method of multipliers (ADMM) is a popular optimization tool for the composite and constrained problems in machine learning. However, in many machine learning problems such as black-box attacks and bandit feedback, ADMM…

Optimization and Control · Mathematics 2019-07-31 Feihu Huang , Shangqian Gao , Songcan Chen , Heng Huang

Kinetic Monte Carlo (KMC) is an important computational tool in physics and chemistry. In contrast to standard Monte Carlo, KMC permits the description of time dependent dynamical processes and is not restricted to systems in equilibrium.…

Computational Physics · Physics 2020-04-22 William Robert Saunders , James Grant , Eike Hermann Müller , Ian Thompson

We introduce mapping-variable ring polymer molecular dynamics (MV-RPMD), a model dynamics for the direct simulation of multi-electron processes. An extension of the RPMD idea, this method is based on an exact, imaginary time path-integral…

Statistical Mechanics · Physics 2015-06-17 Nandini Ananth

The ENUF method, i.e., Ewald summation based on the Non-Uniform FFT technique (NFFT), is implemented in Dissipative Particle Dynamics (DPD) simulation scheme to fast and accurately calculate the electrostatic interactions at mesoscopic…

Computational Physics · Physics 2013-03-20 Yong-Lei Wang , Aatto Laaksonen , Zhong-Yuan Lu

The zero-mass (ZM) parton formalism is widely used in high-energy physics because of its simplicity and historical importance, even while massive quarks (c,b,t) are playing an increasingly prominent role in particle phenomenology, including…

High Energy Physics - Phenomenology · Physics 2009-07-09 Pavel M. Nadolsky , Wu-Ki Tung

Simulating the static and dynamic properties of semidilute polymer solutions with Brownian dynamics (BD) requires the computation of a large system of polymer chains coupled to one another through excluded-volume and hydrodynamic…

Soft Condensed Matter · Physics 2020-07-03 Aashish Jain , P. Sunthar , B. Dünweg , J. Ravi Prakash

This article describes nonequilibrium techniques for the calculation of free energies of solids using molecular dynamics (MD) simulations. These methods provide an alternative to standard equilibrium thermodynamic integration methods and…

Materials Science · Physics 2022-01-13 Rodrigo Freitas , Mark Asta , Maurice de Koning

This paper proposes SMADMM, a single-loop Stochastic Momentum Alternating Direction Method of Multipliers for solving a class of nonconvex and nonsmooth composite optimization problems. SMADMM achieves the optimal oracle complexity of…

Optimization and Control · Mathematics 2025-04-22 Kangkang Deng , Shuchang Zhang , Boyu Wang , Jiachen Jin , Juan Zhou , Hongxia Wang